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On the locus of higher order jets of entire curves in complex projective varieties

Abstract : For a given complex projective variety, the existence of entire curves is strongly constrained by the positivity properties of the cotangent bundle. The Green-Griffiths-Lang conjecture stipulates that entire curves drawn on a variety of general type should all be contained in a proper algebraic subvariety. We present here new results on the existence of differential equations that strongly restrain the locus of entire curves in the general context of foliated or directed varieties, under appropriate positivity conditions.
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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-03258133
Contributor : Jean-Pierre Demailly Connect in order to contact the contributor
Submitted on : Friday, June 11, 2021 - 12:54:48 PM
Last modification on : Saturday, July 3, 2021 - 8:03:37 PM
Long-term archiving on: : Sunday, September 12, 2021 - 7:37:11 PM

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  • HAL Id : hal-03258133, version 1
  • ARXIV : 2106.06388

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Jean-Pierre Demailly. On the locus of higher order jets of entire curves in complex projective varieties. 2021. ⟨hal-03258133⟩

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